Non-universality of aging during phase separation of the two-dimensional long-range Ising model
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866915662888173568 |
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| author | Müller, Fabio Christiansen, Henrik Janke, Wolfhard |
| author_facet | Müller, Fabio Christiansen, Henrik Janke, Wolfhard |
| contents | We investigate the aging properties of phase-separation kinetics following quenches from $T=\infty$ to a finite temperature below $T_c$ of the paradigmatic two-dimensional conserved Ising model with power-law decaying long-range interactions $\sim r^{-(2 + σ)}$. Physical aging with a power-law decay of the two-time autocorrelation function $C(t,t_w)\sim \left(t/t_w\right)^{-λ/z}$ is observed, displaying a complex dependence of the autocorrelation exponent $λ$ on $σ$. A value of $λ=3.500(26)$ for the corresponding nearest-neighbor model (which is recovered as the $σ\rightarrow \infty$ limes) is determined. The values of $λ$ in the long-range regime ($σ< 1$) are all compatible with $λ\approx 4$. In between, a continuous crossover is visible for $1 \lesssim σ\lesssim 2$ with non-universal, $σ$-dependent values of $λ$. The performed Metropolis Monte Carlo simulations are primarily enabled by our novel algorithm for long-range interacting systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08050 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-universality of aging during phase separation of the two-dimensional long-range Ising model Müller, Fabio Christiansen, Henrik Janke, Wolfhard Statistical Mechanics Computational Physics We investigate the aging properties of phase-separation kinetics following quenches from $T=\infty$ to a finite temperature below $T_c$ of the paradigmatic two-dimensional conserved Ising model with power-law decaying long-range interactions $\sim r^{-(2 + σ)}$. Physical aging with a power-law decay of the two-time autocorrelation function $C(t,t_w)\sim \left(t/t_w\right)^{-λ/z}$ is observed, displaying a complex dependence of the autocorrelation exponent $λ$ on $σ$. A value of $λ=3.500(26)$ for the corresponding nearest-neighbor model (which is recovered as the $σ\rightarrow \infty$ limes) is determined. The values of $λ$ in the long-range regime ($σ< 1$) are all compatible with $λ\approx 4$. In between, a continuous crossover is visible for $1 \lesssim σ\lesssim 2$ with non-universal, $σ$-dependent values of $λ$. The performed Metropolis Monte Carlo simulations are primarily enabled by our novel algorithm for long-range interacting systems. |
| title | Non-universality of aging during phase separation of the two-dimensional long-range Ising model |
| topic | Statistical Mechanics Computational Physics |
| url | https://arxiv.org/abs/2409.08050 |